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Reasoning & Proof

What is the form of a conditional statement? If Hypothesis, Then Conclusion
What is the form of the Converse statement? If Conclusion, Then Hypothesis
How do you find a counterexample? find a conclusion that is false, when the hypothesis is true (don't touch the hypothesis)
What is the best definition? the biconditional, when a conditional statement is reversible and still true
what is the biconditional phrase? if and only if
what is the form of the biconditional? Hypothesis if and only if Conclusion
when does the biconditional occur? when the conditional and converse are both true
when an operation is performed to both sides of an equation, we call them... properties of equalities
Name the operational properties of equality multiplication, division, addition, subtraction
What does supplementary angles mean? angles add to 180
What does vertical angles do? vertical angles are congruent
What does complementary angles do? angles add to 90
what givens do you need to use the law of detachment? if hypothesis, then conclusion (Conditional) AND the hypothesis
What does the law of detachment conclude as true? the conclusion detaches as true
what givens doe you need to use the law of syllogism? Two if, then where there is a repeated piece.
what does the law of syllogism conclude as true? another if. then statement as long as there is one hypothesis and one conclusion left over